Question

In the diagram..
please help me asap

Answer 1

see explanation

Explanation:

(a)

given GH bisects ∠ FGI , then

∠ HGI = ∠ FGH ( substitute values )

5x - 15 = 4x - 6 ( subtract 4x from both sides )

x - 15 = - 6 ( add 15 to both sides )

x = 9

then

∠ FGH = 4x - 6 = 4(9) - 6 = 36 - 6 = 30°

(b)

∠ HGI = 5x - 15 = 5(9) - 15 = 45 - 15 = 30°

(c)

∠ FGI = ∠ FGH + ∠ HGI = 30° + 30° = 60°